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Finding the Third Proportional to 30,615,145,851 and 47,921,064,943.50

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Solution

The third proportional to 30,615,145,851 and 47,921,064,943.50 is: 75,009,554,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615,145,851 : 47,921,064,943.50 = 47,921,064,943.50 : x
  2. Step 2: Convert to fraction form
    30,615,145,851/47,921,064,943.50 = 47,921,064,943.50/x
  3. Step 3: Cross multiply
    30,615,145,851x = 47,921,064,943.50 × 47,921,064,943.50
  4. Step 4: Simplify right side
    30,615,145,851x = 2,296,428,465,319,144,587,264
  5. Step 5: Solve for x
    x = 2,296,428,465,319,144,587,264/30,615,145,851
  6. Step 6: Final answer
    x = 75,009,554,960.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.